Evaluating ATLAS LAr Front End Board Performance

Transcription

1 Evaluating ATLAS LAr Front End Board Performance Nevis Laboratories, Summer EU 2003 J. Gregson, Carnegie Mellon W. Pontius, Columbia ABSTACT The ATLAS experiment is scheduled to begin operation at the CEN Large Hadron Collider within the next five years. In this note, we detail the motivation behind ATLAS and the overall design of the detector, with emphasis on the electromagnetic calorimeter and the front end readout electronics developed at Nevis Laboratories. An overview of the front end board electronics tests performed at Nevis is given and our contribution to the understanding of the board s performance is discussed. We conclude with a summary of future plans for the front end board and the ATLAS collaboration.

2 Table of Contents Motivations for the ATLAS Experiment 3 ATLAS Design 4 The EM Calorimeter Front End Board 7 FEB Characteristics and Performance 8 Future of FEB Production and ATLAS 21 Appendix 22 2

3 Motivations for the ATLAS Experiment The Standard Model provides a consistent theoretical framework describing physical phenomena in terms of fundamental particles and their interactions. It has been verified experimentally to an unprecedented degree. The model posits the existence of twelve fermions, the constituents of matter, organized into three generations, and six bosons, which mediate their interactions. All of the predicted fermions and all but one of the bosons have been detected experimentally. The discovery of the remaining boson, the Higgs particle, remains an outstanding problem in high energy physics. In the Weinberg-Salam-Glashow model, the Higgs is posited as the mechanism through which the underlying symmetry between the electromagnetic and weak interactions is broken. It is through this broken symmetry that the mediators of the weak force, the W and Z bosons, acquire mass, resulting in the observed weakness of the interaction at energy scales below the electroweak level. The significance of the Higgs, however, extends beyond the electroweak realm: the Standard Model predicts that all massive particles acquire mass through their interaction with the Higgs field. The best fit of the Standard Model s free parameters to experimental data predicts a Higgs mass ideally similar to that of the Z particle, near 90 GeV, and most likely below 200 GeV. However, data taken at the previous generation LEP II collider at CEN has raised the lower limit on the Higgs mass to 114 GeV. Experiments at the Fermilab TeVatron will extend the LEP II result to the 5σ level and will be sensitive to a slightly higher mass range. The ATLAS experiment, however, is designed to detect a Higgs at this mass all the way to the theoretical maximum around 1 TeV with 5σ statistics: if the Standard Model Higgs boson exists, it will be detected at ATLAS. In addition to finding the Higgs boson, the luminosity and energy of the LHC will enable ATLAS to study Standard Model processes with an unprecedented level of statistics. High statistics top studies will be possible for the first time, enabling precision measurements of the top mass and its behavior. Additionally, extremely accurate measurements of the W and Z masses will be possible, and new opportunities to study CP violation, a process not entirely understood in the Standard Model framework, will emerge. 3

4 While ATLAS will be capable of experimentally verifying the Standard Model, it also has the potential to produce data beyond its reach. For some time, it has been apparent that the Standard Model is not a final theory, but rather a low energy approximation to some more fundamental model. Most significantly, it has been shown theoretically that any quantum theory of gravity is nonrenormalizable within the Standard Model framework: the two are hopelessly irreconcilable. Also perturbing to theorists are the Standard Model s nineteen free parameters, which must be determined experimentally. These parameters include such quantities as particle masses, which would in principle be predicted by a deeper theory. A leading candidate as the successor to the Standard Model is supersymmetry (SUSY), a symmetry between fermions and bosons that provides a superpartner for each Standard Model particle and extends the Higgs sector to include at least four particles. Supersymmetry, however, is a broken symmetry, as the superpartners must all be heavier than the Standard Model particles to have previously escaped detection. The major theoretical attraction of supersymmetry is that, in contrast to the Standard Model, it is theoretically compatible with gravity, a benefit great enough to excuse doubling the number of fundamental particles. Additionally, supersymmetry is a prediction of all flavors of string theory. ATLAS will actively search for the predicted supersymmetric particles into the TeV mass range. In addition to supersymmetry, ATLAS will be able to investigate the predictions of more exotic competing theories, such as technicolor resonances, leptoquarks, and compositeness. Some theorists have even entertained the possibility of searching for large extra dimensions in the ATLAS data. The ATLAS experiment will take full advantage of the LHC s previously unknown luminosity and beam energy. Within the first few years of operation, the data from ATLAS will be able to complete the experimental investigation of the Standard Model and perhaps lead the way to new physics. ATLAS Design ATLAS (A Toroidal LHC ApparatuS) will monitor and record products of the proton-proton collisions that take place within the LHC (Large Hadron Collider) at 4

5 CEN. The LHC, a circular particle accelerator 27 km in circumference, will be capable of accelerating protons to energies of 7 TeV. The allowed 14 TeV center of mass collisions will occur at a frequency of 40 MHz. The beam line of the LHC will run through the center of ATLAS. ATLAS inner tracker immediately surrounds the beam line and is enclosed by a solenoid magnet. A liquid argon electromagnetic calorimeter encircled by a hadronic, tile calorimeter surround the solenoid magnet. The muon spectrometer and its large toroidal magnets lie outside the calorimeters. Figure 1: Schematic view of the ATLAS detector. Inner Detector The inner detector contains silicon layers divided into cells. A solenoid with a 2 T magnetic field is located directly outside of the tracker, serving to bend a particle s trajectory. When a collision product traverses the silicon, its curved 5

6 path is recorded, allowing for the momentum and electric charge of the particle to be measured. Liquid Argon Electromagnetic Calorimeter As its name reveals, the liquid argon electromagnetic calorimeter will measure the energies of photons and electrons. ows of steel-coated lead plates separated by liquid argon comprise the electromagnetic calorimeter. A charged particle approaching a lead nucleus will be accelerated and emit a photon, which in the presence of other lead nuclei will produce particle-anti-particle pairs (Bremsstrahlung). This process continues as a chain reaction producing an electromagnetic shower. This shower ionizes atoms in the liquid argon, and the freed charges drift toward collection plates where they are summed yielding the total energy of the particle that traversed the electromagnetic calorimeter. Hadronic Tile Calorimeter The hadronic tile calorimeter will detect and measure the energies of hadrons such as π + mesons, protons, and neutrons that result from the LHC s proton-proton collisions. The hadrons will pass into the calorimeter s layers of steel plates, during which time some of them will interact with steel nuclei. This interaction may yield a hadronic shower, in which case disrupted nuclei and newly created hadrons will interact with the calorimeter s scintillating tiles. As a result, light would be emitted from the scintillator and next measured by photomultiplier tubes, allowing the energy of the hadron that initialized the hadronic shower to be known. Muon Detector A super-conducting air core toroidal magnet contained in the muon detector will serve to bend the path of any muon that may have reached this outer most layer of ATLAS. Precision detectors track the path of the muon from which the momentum can be calculated. 6

7 The EM Calorimeter Front End Board Figure 2a: Top of FEB. Figure 2b: Bottom of FEB. The EM Calorimeter front end board (FEB) is responsible for amplifying, shaping, sampling, pipelining, and digitizing signals from the ATLAS EM Calorimeter. The FEB is manufactured using a ten layer process and contains about two hundred active components. Each FEB must handle 128 readout channels with an effective signal dynamic range of 16 bits. The FEB s timing performance is critical, as it must sample the incoming calorimeter signal at the LHC bunch crossing rate of 40 MHz, store all signals for the 2.5 µs L1 trigger latency and then read out at the typical L1 rate of 75 khz. Finally, since the front end crate is located directly atop the EM calorimeter, the FEB must be suitably hard for operation in a high radiation environment. The FEB receives analog signals directly from the EM calorimeter. These signals are amplified, shaped, and then read out from the shapers on three gain scales: high ( 100), medium ( 10), or low ( 1). Shaping essentially shortens the length of each analog signal so that incoming signals do not pile up. These shaped signals are then stored on all three gain scales in a switched capacitor array (SCA) awaiting a readout request while the FEB sends a summed analog signal to the L1 trigger. Upon L1 accept, five samples of the requested signal waveform are read from the SCA and then digitized by a 12-bit ADC. Output from the ADC is given in discrete ADC counts with possible values from 0 to In order to minimize the loss of dynamic range from the use of a 12-bit ADC, a gain selection algorithm is then applied to select the appropriate gain, maximizing the height of the signal without saturating the ADC. The digitized signals 7

8 are then formatted and sent off the detector over a 1.6 Gb/s optical link for further processing. Figure 3: Waveforms with increasing DAC values approaching saturation. A total of 1627 production FEBs will be built. Of these, 1524 will be part of the ATLAS detector at any given time and 87 will be kept as spares. It is anticipated that 16 boards will be irreparably dead, for a failure rate of about 1%. FEB Characteristics and Performance Our work has focused primarily on evaluating and understanding the performance of the calorimeter front end boards. Data for our tests was taken on a front end crate test stand containing electronics to send calibration data patterns and simulated triggers to the FEB. User interface is provided through gui, a GUI based program capable of taking simulated data runs and controlling most functions on the FEB. We converted the raw 8

9 data files from test runs into OOT-tuples and performed all analyses using OOT-based macros. The following is based on our analysis of six preproduction front end boards. Perhaps the most fundamental quantity in the FEB analysis is the waveform itself, the time dependent signal derived from the amplification and shaping of the input signal received from the calorimeter. It is from this waveform that the energy of events in the EM calorimeter will be reconstructed. The shape of the waveform varies in a wellunderstood manner. The waveform can be accurately described as the sum of the pulse and the clock feedthrough. The pulse here is simply the input signal amplified and shaped by the front end board. The clock feedthrough is essentially an artifact from the operation of the calibration board. It is a signal resulting from capacitance effects during the opening and closing of the switch sending the calibration pulse. Figure 4: Clock Feedthrough for FEB 315, forced high gain with 250 DAC input. 9

10 Figure 5: Baseline subtracted pulse for FEB 315, forced high gain with 250 DAC input. Figure 6: Overall waveform for FEB 315, forced high gain with 250 DAC input. For a properly functioning FEB, the shape of this waveform is essentially constant. 10

11 In normal data taking, this waveform is sampled at five points: the peak and 25 ns and 50 ns before and after the peak. These five samples are then weighted and summed to give an event energy according to the formula E = 4 i= 0 α isi, in which S i is the i-th sample and α i is the i-th optimal filtering coefficient. These optimal filtering coefficients are calculated to minimize the sensitivity of the final energy measurement to jitters in the waveform. Graphs of the waveform are normally produced by taking what is termed a delay run. In a delay run, the first entry is the five data points sampled from the waveform at the normal positions. The second entry then consists of five samples taken 1 ns to the left of the first entry. This process is iterated a total of 25 times to produce a smooth graph of the wave. Another basic test is verifying the linearity of the waveform s height with varying DAC value. Data for this test is provided by a run termed a DAC scan, in which simulated data is read out while incrementing the DAC value. DAC value is a parameter set on the calibration board determining the height of the calibration signal: a higher DAC value then corresponds to a higher energy signal. On a graph of energy versus DAC value, a properly performing board will show precise linearity over most of the DAC value range. Departures from this linearity are anticipated only at the extreme lower and upper DAC value limits. At the low end, the contribution of the clock feedthrough, which is independent of DAC value, becomes significant in the waveform. At the upper end of the spectrum, the waveform will begin to saturate, as it exceeds the dynamic range of the 12-bit ADC. 11

12 Figure 7: Linearity check for FEB 315, forced high gain. Energy resolution, σ(e), is simply the MS of the energy read per event. Plots of energy resolution versus DAC value typically display a horizontal line, indicating that the energy resolution of the board is constant over the range of measurable energies. 12

13 Figure 8: Energy resolution for FEB 315, forced high gain. As in any electronics system, noise is an important concern in the FEB. Noise is studied by sending calibration pulses to the FEB and performing various analyses. For every FEB, a series of noise graphs were generated and analyzed to ensure expected levels of FEB noise. By sending identical signals through all 128 channels of a FEB, we examined the average energy per channel. The pedestal in ADC counts, N 1 µ j = E j N j= 1 where j is the event number and N is equal to the total number of events. An expected pedestal ranges from approximately 950 to 1150 ADC counts., 13

14 Figure 9: Pedestals for FEB 347, forced low gain. Total noise (σ Total ) measures the fluctuation between the event energy and the pedestal value for a given signal for all channels. Statistically speaking, total noise is the root-mean-square (MS) of the sum over all channels of event energy, given by σ 2 Total = ( ) ( ) 2 events N channels N events Nchannels x ij µ i x ij µ i N j = 1 i= 1 N events 2 j = 1 i= 1 N events where x ij is the signal a single pulse generates in a single channel and N events and N channels are the total number of events and channels, respectively. The graphs generated plot total noise per channel σ i versus channel number. In order to produce the y-axis of our plot, we only examine the noise per channel, implying that the summations over all channels in the above equation would be removed. Noise per channel is dependent upon whether or not the FEB s shapers are turned on. With the shapers off, we expect the noise per channel to be approximately 0.9 ADC counts. With the shapers on, choice of gain setting affects the noise per channel. When 14

15 the FEB is set to high gain, we anticipate a noise per channel of approximately 7 ADC counts. If the FEB is set to medium or low gain, we anticipate a noise per channel of approximately 1 ADC count. This is one of the first analyses performed to ensure the FEB s functionality. Figure 10: Noise for FEB 347, forced low gain, no shapers. 2 Total Total noise is comprised of both incoherent and coherent noise: σ = σ + σ. Incoherent noise may be thought of as random, whereas 2 Incoherent 2 Coherent coherent noise may be thought of as noise correlated between channels of the FEB. 2 Mathematically, incoherent noise is defined as σ Incoherent N = channels j= 1 σ 2 j, where Nevents N events σ = ( ) j xij µ i Nevents j = 1 Nevents j = 1 ( ) 2 x µ (Note that this σ j corresponds to the noise per channel described in the previous paragraph.) ij i 15

16 Total noise, σ Total Incoherent noise, σ Incoherent Coherent noise, σ Coherent Table: Typical overall noise results for FEB 315, forced high gain, examining all 128 channels. Noise is given in ADC counts. To learn about the incoherent and coherent noise of a FEB, we plot the coherent noise fraction, f j = σ Coherent σ N j channels versus channel number. acceptably. If ƒ j < 5% for all channels, then the FEB is performing Figure 11: Coherent noise percentage per channel for FEB 347, forced low gain. 16

17 Crosstalk between channels is a particularly important type of electronic noise. It can be studied directly using data from a delay run. If a specific channel pattern is pulsed during a delay run, a recognizable crosstalk pattern can be observed in the unpulsed channels. The shape of the crosstalk appears to be roughly proportional to the negative derivative of the waveform. It is likely that this crosstalk is capacitance based: that is, it results from capacitance effects between closely spaced electronic components. The magnitude of the crosstalk pattern, measured as the distance from the peak to the trough, varies directly with DAC value. Additionally, it has been observed that crosstalk is significantly higher in even numbered channels than in odd numbered channels, corresponding to opposite sides of the FEB. The shape of the pattern varies depending on the gain scale: it is similar under fixed high or medium gains, but becomes more complex in low gain. 17

18 Figure 12a: Forced high gain. 18

19 Figure 12b: Forced medium gain. 19

20 Figure 12c: Low gain Figures 12a, b, c display crosstalk observed in FEB 315 during delay runs pulsing every fourth channel. The first sixteen channels are plotted. The waveform is provided above for reference. In actual operation with gain selection enabled, the odd shape of the low gain crosstalk will probably not be an issue: the signal is small enough that the gain selectors would most likely read it on the higher gain scales. A next step here would be to investigate the crosstalk pattern with automatic gain selection enabled. To this end, we have edited the 20

21 gui software to provide some additional functionality needed for running the FEB with automatic gain selection. In addition to generating and analyzing graphs, we examined the circuitry connecting the SCA to the ADC on the FEB and employed basic electronics principles to determine the gain and baseline voltage of this area of the board. The write-up for this exercise may be found in the appendix. The conclusions presented within the write-up help to explain the slight pedestal fluctuations from channel to channel in terms of uncertainties in the specifications of the FEB components. This also allows one to ensure that the saturation level of a signal will not be exceeded due to voltage uncertainties in the circuitry. Future of FEB Production and ATLAS Currently, ten preproduction FEBs are being tested at Nevis Labs. After completion of digital testing at Nevis, the FEBs will be sent to Brookhaven National Laboratory (BNL) for a burn-in process, digital re-tests, analog tests, cooling plate installation and a final test. All future production FEBs will undergo the same process before being shipped to CEN for installation in ATLAS. The boards will be received by the LAr Electronics Maintenance Facility (EMF) at CEN, where final steps will be taken toward installation. ATLAS itself is expected to begin taking data between 2007 and 2008, initially at low luminosity. The LHC is expected to reach full luminosity within three years. The experiment is a vast and expanding collaboration, currently involving over 1800 physicists and nearly 150 institutions. 21

22 Appendix Determination of the Gain and Baseline Voltage of the Analog Buffer Connecting the SCA and the ADC The following is a calculation of the gain α and baseline voltage β of the circuit. An equation of the form: V DAC α ( IN + IN ) + β is expected. (1) and (2) = Sections (1) and (2) are simple voltage followers which have a gain of 1. Thus, IN + and IN - will be the voltages emitted at points A and B, respectively. (3) and (4) Section (3) is a non-inverting amplifier, implying that 5 V3out = V3in 1+ (3a) 6 To determine the value of V 3in, employ the 2 nd golden rule of operational amplifiers (opamps): the input draws no current. Therefore, examining section (4) yields ( V V ) ref 8 3in = I = 0 Vref V3in = (4) Plugging V ref in for V 3in, equation (3a) becomes (5) 5 V3out = Vref 1+ (3b) 6 Once again, by the 2 nd golden rule of op-amps, the positive input of the op-amp should draw no current, thus if I 2 ( IN V ) 5in+ = And 3 I 3 ( V V ) 3 out 5in = + (5a) 4 Then, I + I 0 (5b) 2 3 = 22

23 Plugging the right-hand-sides of the equations in 5a into 5b, yields (after simplification) V = ( IN + V ) 4 3 3out 5in+ (5c) To simplify sooner than later, we plug equation (3b) into equation (5c), yielding V IN + V ref 6 5in+ = (5d) (6) Once again, by the 2 nd golden rule of op-amps, the negative input of the op-amp should draw no current, thus if ( IN + V5in ) ( V ) I1 = and 6out V5in I 6 = (6a) Then, 1 2 I 1 + I 6 = 0 (6b) Plugging the right-hand-sides of the equations in 6a into 6b, yields (after simplification) V 2 ( + ) IN 2 + 6out = V5in 1 (6c) 1 1 Note that the first golden rule of op-amps, the output attempts to do whatever is necessary to make the voltage difference between the inputs zero, requires that V 5in- = V 5in+. Thus, the V 5in+ derived in equation (5d), may be plugged into equation (6c), yielding V 6out IN + V = 4 3 ref 6 1 2IN + (6d) (7) This section of the circuit is a simple voltage divider, so 23

24 V DAC 10 6out = (7) 7 V + 10 Note that substituting (6d) into (7) yields the following, rather useful, form of equation (7): V DAC = IN + 3 Vref ( + ) IN 1 + (7a) Where, 1 = 1000 Ω 2 = 374 Ω 3 = 1000 Ω 4 = 374 Ω 5 = 100 Ω 6 = 806 Ω 7 = 50 Ω * 10 = 200, 250, or 300 Ω and V ref = 2.4 V *Note that the values of the gain and baseline voltage will change as 10 changes. After all constant resistor and voltage values listed above are inserted into equation (7a), it becomes V DAC = IN + IN V (7b) I II III IV V Comparison of equation (7b) with that of our expected form (specified in the opening), reveals that (I)*(II) = α and (IV)*(V) = β. 24

25 Conclusions *Note that there are 4096 ADC counts/v. Baseline Voltage Dependence on 10 in the Analog Buffer 9600 Baseline Voltage (ADC Counts) (Ohms) Analog Buffer Gain's Dependence upon the Value of 10 Gain of Analog Buffer (Ohms) Graphed information in chart form: 10 (Ohms) Baseline Voltage (ADC counts) σ on Baseline (ADC Counts) Gain of Analog Buffer

26 esources Horowitz, Paul and Hill, Winfield. The Art of Electronics. Cambridge, U.K.: Cambridge University Press, Maple, version 7 was utilized to perform error analysis. 26